The OEIS mourns the passing of Jim Simons and is grateful to the Simons Foundation for its support of research in many branches of science, including the OEIS.
The OEIS is supported by the many generous donors to the OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A026998 Triangular array T read by rows: T(n,k)=t(n,2k), t given by A027960, 0<=k<=n, n >= 0. 19
 1, 1, 1, 1, 4, 1, 1, 4, 8, 1, 1, 4, 11, 13, 1, 1, 4, 11, 26, 19, 1, 1, 4, 11, 29, 54, 26, 1, 1, 4, 11, 29, 73, 101, 34, 1, 1, 4, 11, 29, 76, 171, 174, 43, 1, 1, 4, 11, 29, 76, 196, 370, 281, 53, 1, 1, 4, 11, 29, 76, 199, 487, 743, 431, 64, 1, 1, 4 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 0,5 COMMENTS Right-edge columns are polynomials approximating Lucas(2n+1). LINKS Table of n, a(n) for n=0..67. FORMULA T(n, k) = Lucas(2n+1) = A002878(n) for 2k<=n, otherwise the (2n-2k)th coefficient of the power series for (1+2x)/{(1-x-x^2)(1-x)^(2k-n)}. EXAMPLE ............................1 ..........................1,1 ........................1,4,1 ......................1,4,8,1 ..................1,4,11,13,1 ...............1,4,11,26,19,1 ............1,4,11,29,54,26,1 ........1,4,11,29,73,101,34,1 ....1,4,11,29,76,171,174,43,1 1,4,11,29,76,196,370,281,53,1 CROSSREFS This is a bisection of the "Lucas array" A027960, see A027011 for the other bisection. Row sums are in A000918. Right-edge columns include A034856, A027966, A027968, A027970, A027972. Sequence in context: A091570 A116669 A016523 * A326812 A324893 A301626 Adjacent sequences: A026995 A026996 A026997 * A026999 A027000 A027001 KEYWORD nonn,tabl AUTHOR Clark Kimberling EXTENSIONS Edited by Ralf Stephan, May 05 2005 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified May 23 02:40 EDT 2024. Contains 372758 sequences. (Running on oeis4.)